Theorem 2.1 [1]}
Let us choose an arbitrary root \(\omega _F\in \overline{K}\)  of each irreducible factor \(F\)  of \(\phi \) , and consider the valuation \(w_{F}=\bar{v}\circ \lambda _{\omega _F}\) .
Then, the extensions of \(v\)  to \(K_\phi \)  are precisely \(w_{F_1},\dots ,w_{F_r}\) .

